Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

Abstract

In this paper we have studied the problem of an unsteady hydromagnetic forced convective heat transfer slip flow over a porous rotating disk taking into account the temperature dependent density, viscosity and thermal conductivity. The governing non-linear partial differential equations of the flow are transformed into a set of non-linear ordinary differential equations using similarity transformations. The resulting nondimensional equations have been solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta iteration scheme. Comparison with previously published work for the steady case of the problem is performed and the results are found to be in very good agreement. The results of the numerical solution are presented graphically in the form of velocity (i.e. radial, tangential as well as inward axial), temperature profiles and variable Prandtl number for various values of the model parameters. The corresponding skin friction coefficients (i.e. radial and tangential) and the rate of heat transfer coefficient (i.e. Nusselt number) are also calculated and tabulated. The obtained numerical results show that when modeling a thermal boundary layer with temperature dependent fluid properties, consideration of Prandtl number as constant within the boundary layer produces unrealistic results. Therefore, it must be treated as variable throughout the boundary layer. Results also show that the slip factor significantly controls the flow and heat transfer characteristics.

Radiation Effects in Flow through Porous Medium over a Rotating Disk with Variable Fluid Properties

“…We observe that numerical value of (0), − (0) and − (0) decreases with the increasing value of Kn, Re, and radiation parameter . Tables 2 and 3 depict the comparison of skin friction coefficients and rate of heat transfer between the results obtained in the present investigation and the literature available [33,48,49]. It is observed that results obtained in present study are very well in agreement with the existing results.…”

“…Comparison between the results of present study with the results reported by Kelson and Desseaux[48], Maleque and Sattar[33], and Alam et al[49] for rate of heat transfer − (0) for Pr = 0.71, = 0, = 0, Kn = 0, and = 0.…”

“…Also radiation parameter increases temperature gradient near the surface of the disk. [33], and Alam et al [49] for the radial (0) and tangential − (0) skin friction coefficients for Pr = 0.71, = 0, = 0, and Kn = 0. temperature jump. The radial velocity achieves a maximum value near to the surface of the disk for all values of .…”

Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux

“…Kumar [17] explored the impact of the magnetic dipole on thermophoretic particle deposition, selecting Maxwell fluid over a stretching sheet. Additionally, the influence of thermophoretic particle deposition under various conditions is noticed by many authors [18][19][20][21][22][23].…”